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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 4, Pages 72–80 (Mi ivm7291)

This article is cited in 3 papers

Some families of complex lines sufficient for holomorphic continuation of functions

A. M. Kytmanova, S. G. Myslivetsb

a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
b Chair of Higher Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: The paper is devoted to some results connected with the generalized boundary Morera property of holomorphic continuations of functions given on the boundary of a bounded domain.

Keywords: holomorphic continuation, Morera condition, Bochner–Martinelli integral.

UDC: 517.55

Received: 28.09.2009


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:4, 60–66

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© Steklov Math. Inst. of RAS, 2024